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A geometric characterization of the nucleolus of the assignment game
Llerena, Francesc; Nunez, Marina - In: Economics Bulletin 31 (2011) 4, pp. 3275-3285
Maschler et al. (1979) provide a geometrical characterization for the intersection of the kernel and the core of a … each pair of players. In the case of the assignment game, this means that the kernel can be determined as those core …
Persistent link: https://www.econbiz.de/10009371382
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All assignment games with the same core have the same nucleolus
Oliva, Marina Nunez - Facultat d'Economia i Empresa, Universitat de Barcelona - 2004
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of...
Persistent link: https://www.econbiz.de/10005022346
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Uniform-price assignment markets
Oliva, Marina Nunez; Pallarola, Carlos Rafels - Facultat d'Economia i Empresa, Universitat de Barcelona - 2005
{Bawerk horse markets. We prove that for uniform-price assignment games the kernel, or set of symmetrically-pairwise bargained …
Persistent link: https://www.econbiz.de/10005022371
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A note on the nucleolus and the kernel of the assignment game
Núñez, Marina - In: International Journal of Game Theory 33 (2004) 1, pp. 55-65
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of...
Persistent link: https://www.econbiz.de/10005598515
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A Canonical Representation for the Assignment Game: the Kernel and the Nucleolus
Núñez, Marina; Rafels, Carles - Barcelona Graduate School of Economics (Barcelona GSE) - 2006
analyzed. The kernel and the nucleolus of the assignment game, are proved to be the translation of the kernel and the nucleolus …
Persistent link: https://www.econbiz.de/10010547514
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The Lorenz-maximal core allocations and the kernel in some classes of assignment games
Llerena, Francesc; Nunez, Marina; Rafels, Carles - Facultat d'Economia i Empresa, Universitat de Barcelona - 2010
Persistent link: https://www.econbiz.de/10008690922